456381823241 has 16 divisors (see below), whose sum is σ = 485415244800. Its totient is φ = 428121270720.

The previous prime is 456381823237. The next prime is 456381823267. The reversal of 456381823241 is 142328183654.

It is a cyclic number.

It is not a de Polignac number, because 456381823241 - 2² = 456381823237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456381823211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2846351 + ... + 3002411.

It is an arithmetic number, because the mean of its divisors is an integer number (30338452800).

Almost surely, 2^456381823241 is an apocalyptic number.

It is an amenable number.

456381823241 is a deficient number, since it is larger than the sum of its proper divisors (29033421559).

456381823241 is a wasteful number, since it uses less digits than its factorization.

456381823241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158536.

The product of its digits is 1105920, while the sum is 47.

The spelling of 456381823241 in words is "four hundred fifty-six billion, three hundred eighty-one million, eight hundred twenty-three thousand, two hundred forty-one".